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Give the order of the following : (a) ...

Give the order of the following :
(a) 1
(b) 1000
(c ) 499
(d) 500
(e) 501)
(f) 1 AU `(1.496 xx 10^(11) m)`
(g) 1 Å `(10(-10)m )`
(h) Speed of light `(3.00 xx 10^(8) m//s)`
(i) Gravitational constant `(6.67 xx 10^(-11) N-m^(2)//kg^(2))`
(j) Avogadro constant `(6.02 xx 10^(23) mol^(-1))`
(k) Planck's constant `(6.63 xx 10^(-34) J-s)`
(l) Charge on electron `(1.60 xx 10^(-19) C)`
(m) Radius of H - atom `(5.29 xx 10^(-11)m)`
(n) Atmospheric pressure `(1.01 xx 10^(5) Pa)`
(o) Mass of earth `(5.98 xx 10^(24)kg)`
(p) Mean radius of earth `(6.37 xx 10^(6)m)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the order of the given quantities, we will analyze each one based on its significant figures and scientific notation. The order will be determined by the magnitude of each quantity. ### Step-by-Step Solution: 1. **Identify each quantity and its scientific notation**: - (a) 1 → \(1.0 \times 10^0\) - (b) 1000 → \(1.0 \times 10^3\) - (c) 499 → \(4.99 \times 10^2\) - (d) 500 → \(5.0 \times 10^2\) - (e) 501 → \(5.01 \times 10^2\) - (f) 1 AU → \(1.496 \times 10^{11}\) - (g) 1 Å → \(1.0 \times 10^{-10}\) - (h) Speed of light → \(3.00 \times 10^8\) - (i) Gravitational constant → \(6.67 \times 10^{-11}\) - (j) Avogadro constant → \(6.02 \times 10^{23}\) - (k) Planck's constant → \(6.63 \times 10^{-34}\) - (l) Charge on electron → \(1.60 \times 10^{-19}\) - (m) Radius of H-atom → \(5.29 \times 10^{-11}\) - (n) Atmospheric pressure → \(1.01 \times 10^5\) - (o) Mass of earth → \(5.98 \times 10^{24}\) - (p) Mean radius of earth → \(6.37 \times 10^6\) 2. **List the orders of magnitude**: - \(10^{-34}\) (Planck's constant) - \(10^{-19}\) (Charge on electron) - \(10^{-11}\) (Gravitational constant) - \(10^{-10}\) (1 Å) - \(10^{2}\) (499, 500, 501) - \(10^{3}\) (1000) - \(10^{5}\) (Atmospheric pressure) - \(10^{6}\) (Mean radius of earth) - \(10^{8}\) (Speed of light) - \(10^{11}\) (1 AU) - \(10^{23}\) (Avogadro constant) - \(10^{24}\) (Mass of earth) 3. **Order the quantities from smallest to largest**: - (k) Planck's constant \(6.63 \times 10^{-34}\) - (l) Charge on electron \(1.60 \times 10^{-19}\) - (i) Gravitational constant \(6.67 \times 10^{-11}\) - (g) 1 Å \(1.0 \times 10^{-10}\) - (c) 499 \(4.99 \times 10^{2}\) - (d) 500 \(5.0 \times 10^{2}\) - (e) 501 \(5.01 \times 10^{2}\) - (b) 1000 \(1.0 \times 10^{3}\) - (n) Atmospheric pressure \(1.01 \times 10^{5}\) - (p) Mean radius of earth \(6.37 \times 10^{6}\) - (h) Speed of light \(3.00 \times 10^{8}\) - (f) 1 AU \(1.496 \times 10^{11}\) - (j) Avogadro constant \(6.02 \times 10^{23}\) - (o) Mass of earth \(5.98 \times 10^{24}\) ### Final Order: 1. Planck's constant 2. Charge on electron 3. Gravitational constant 4. 1 Å 5. 499 6. 500 7. 501 8. 1000 9. Atmospheric pressure 10. Mean radius of earth 11. Speed of light 12. 1 AU 13. Avogadro constant 14. Mass of earth
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